Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori
文献类型：期刊论文
| 作者 | Jin, Liang1; Cui, Xiaojun2 |
| 刊名 | GEOMETRIAE DEDICATA
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 193期号:1页码:155-192 |
| 关键词 | Global viscosity solutions Lorentzian eikonal equations Class A 2-tori |
| ISSN号 | 0046-5755 |
| DOI | 10.1007/s10711-017-0261-x |
| 英文摘要 | On the Abelian cover (R-2, g) of a class A Lorentzian 2-torus (T-2, g), we showed the existence of global viscosity solutions to the eikonal equation g(del u, del u) = -1 associated to those homologies in the interior of the stable time cone. Some other related dynamical properties are also considered. As an application of the main results, we study the differentiability of the unit sphere of the stable time separation associated to the class A Lorentzian 2-torus. |
| 资助项目 | National Natural Science Foundation of China[11271181] ; National Natural Science Foundation of China[11571166] ; National Natural Science Foundation of China[11631006] ; Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) ; Fundamental Research Funds for the Central Universities |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000426662600007 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29787]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cui, Xiaojun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jin, Liang,Cui, Xiaojun. Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori[J]. GEOMETRIAE DEDICATA,2018,193(1):155-192. |
| APA | Jin, Liang,&Cui, Xiaojun.(2018).Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori.GEOMETRIAE DEDICATA,193(1),155-192. |
| MLA | Jin, Liang,et al."Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori".GEOMETRIAE DEDICATA 193.1(2018):155-192. |
入库方式： OAI收割
来源：数学与系统科学研究院
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